Xiaoqi Huang

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All published works

Action	Title	Year	Authors
+	Curvature and sharp growth rates of log-quasimodes on compact manifolds	2025	Xiaoqi Huang Christopher D. Sogge
+ PDF Chat	Weyl laws for Schr\"odinger operators on compact manifolds with boundary	2024	Xiaoqi Huang Xing Wang Cheng Zhang
+ PDF Chat	Restriction of Schr\"odinger eigenfunctions to submanifolds	2024	Xiaoqi Huang Xing Wang Cheng Zhang
+ PDF Chat	Strichartz estimates for the Schr\"odinger equation on compact manifolds with nonpositive sectional curvature	2024	Xiaoqi Huang Christopher D. Sogge
+ PDF Chat	Quasimode concentration on compact space forms	2024	Xiaoqi Huang Christopher D. Sogge
+ PDF Chat	Heat Kernel Estimate in a Conical Singular Space	2023	Xiaoqi Huang Junyong Zhang
+ PDF Chat	Sharp Pointwise Weyl Laws for Schrödinger Operators with Singular Potentials on Flat Tori	2023	Xiaoqi Huang Cheng Zhang
+ PDF Chat	Pointwise Weyl laws for Schrödinger operators with singular potentials	2022	Xiaoqi Huang Cheng Zhang
+	Uniform Sobolev Estimates in $$\pmb {\mathbb {R}}^{n}$$ Involving Singular Potentials	2022	Xiaoqi Huang Christopher D. Sogge
+ PDF Chat	Quasimode and Strichartz estimates for time-dependent Schrödinger equations with singular potentials	2022	Xiaoqi Huang Christopher D. Sogge
+	Interior estimates for the eigenfunctions of the fractional Laplacian on a bounded domain	2021	Xiaoqi Huang Yannick Sire Cheng Zhang
+ PDF Chat	Uniform Sobolev estimates on compact manifolds involving singular potentials	2021	Matthew D. Blair Xiaoqi Huang Yannick Sire Christopher D. Sogge
+	Spectral cluster estimates for Schrödinger operators of relativistic type	2021	Xiaoqi Huang Yannick Sire Cheng Zhang
+ PDF Chat	Weyl formulae for Schrödinger operators with critically singular potentials	2021	Xiaoqi Huang Christopher D. Sogge
+ PDF Chat	Restriction of toral eigenfunctions to totally geodesic submanifolds	2021	Xiaoqi Huang Cheng Zhang
+	Pointwise Weyl Laws for Schrödinger operators with singular potentials	2021	Xiaoqi Huang Cheng Zhang
+	Uniform Sobolev estimates in $\mathbb{R}^{n}$ involving singular potentials	2021	Xiaoqi Huang Christopher D. Sogge
+	Sharp Pointwise Weyl Laws for Schrödinger Operators with Singular Potentials on Flat Tori	2021	Xiaoqi Huang Cheng Zhang
+	Uniform Sobolev Estimates on compact manifolds involving singular potentials	2020	Matthew D. Blair Xiaoqi Huang Yannick Sire Christopher D. Sogge
+	$L^p$ eigenfunction bounds for fractional Schrödinger operators on manifolds	2020	Xiaoqi Huang Yannick Sire Cheng Zhang
+	Weyl formulae for Schrödinger operators with critically singular potentials	2020	Xiaoqi Huang Christopher D. Sogge
+	Quasimode and Strichartz estimates for time-dependent Schrödinger equations with singular potentials	2020	Xiaoqi Huang Christopher D. Sogge
+	Interior estimates for the eigenfunctions of the fractional Laplacian on a bounded Euclidean domain	2019	Xiaoqi Huang Yannick Sire Cheng Zhang

Common Coauthors

Coauthor	Papers Together
Christopher D. Sogge	11
Yannick Sire	6
Cheng Zhang	6
Cheng Zhang	2
Xing Wang	2
Matthew D. Blair	2
Cheng Zhang	2
Junyong Zhang	1
Cheng Zhang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Concerning the Lp norm of spectral clusters for second-order elliptic operators on compact manifolds	1988	Christopher D. Sogge	13
+ PDF Chat	On the parabolic kernel of the Schrödinger operator	1986	Peter Li Shing Tung Yau	9
+	On the wave equation on a compact Riemannian manifold without conjugate points	1977	Pierre Bérard	8
+	Fourier Integrals in Classical Analysis	2017	Christopher D. Sogge	8
+	Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators	1987	Carlos E. Kenig Alberto Ruiz Christopher D. Sogge	7
+ PDF Chat	On L p -Resolvent Estimates and the Density of Eigenvalues for Compact Riemannian Manifolds	2014	Jean Bourgain Peng Shao Christopher D. Sogge Xiaohua Yao	7
+	Schrödinger Semigroups on Manifolds	1993	Karl‐Theodor Sturm	7
+	Oscillatory integrals and spherical harmonics	1986	Christopher D. Sogge	6
+	Über die Eigenfunktionen auf geschlossenen Riemannschen Mannigfaltigkeiten	1956	Vojislav G. Avakumović	6
+ PDF Chat	Uniform Sobolev Resolvent Estimates for the Laplace–Beltrami Operator on Compact Manifolds	2013	Peng Shao Xiaohua Yao	6
+ PDF Chat	The spectral function of an elliptic operator	1968	Lars Hörmander	6
+	Hangzhou Lectures on Eigenfunctions of the Laplacian	2014	Christopher D. Sogge	6
+ PDF Chat	Sharp Weyl laws with singular potentials	2023	Rupert L. Frank Julien Sabin	5
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	5
+	Quasimode, eigenfunction and spectral projection bounds for Schr\"odinger operators on manifolds with critically singular potentials	2019	Matthew D. Blair Yannick Sire Christopher D. Sogge	5
+ PDF Chat	On <i>L<sup>p</sup> </i> resolvent estimates for Laplace–Beltrami operators on compact manifolds	2012	David Dos Santos Ferreira Carlos E. Kenig Mikko Salo	5
+ PDF Chat	A restriction theorem for the Fourier transform	1975	Peter A. Tomas	4
+ PDF Chat	Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem	2007	Thierry Coulhon Adam Sikora	4
+	DISCRETE SPECTRUM ASYMPTOTICS FOR THE SCHRÖDINGER OPERATOR WITH A SINGULAR POTENTIAL AND A MAGNETIC FIELD	1996	Alexander V. Sobolev	4
+	Metaharmonic Lattice Point Theory	2011	Willi Freeden	4
+ PDF Chat	Quasimode, Eigenfunction and Spectral Projection Bounds for Schrödinger Operators on Manifolds with Critically Singular Potentials	2019	Matthew D. Blair Yannick Sire Christopher D. Sogge	4
+ PDF Chat	Endpoint Strichartz estimates	1998	M. Keel Terence Tao	3
+	On the spectrum of positive elliptic operators and periodic bicharacteristics	1975	J. J. Duistermaat Victor Guillemin	3
+ PDF Chat	Weyl remainders: an application of geodesic beams	2023	Yaiza Canzani Jeffrey Galkowski	3
+	Decay estimates for Schrödinger operators	1991	Jean-Lin Journé Avy Soffer Christopher D. Sogge	3
+	Schrödinger semigroups	1982	Barry Simon	3
+	Spectral properties of Schrödinger operators and time-decay of the wave functions	1979	Arne Jensen Tosio Kato	3
+	Improved two–term asymptotics for the eigenvalue distribution function of an elliptic operator on a compact manifold	1990	A. V. Volovoy	3
+	Uniform Sobolev Estimates on compact manifolds involving singular potentials	2020	Matthew D. Blair Xiaoqi Huang Yannick Sire Christopher D. Sogge	3
+	The spectrum of positive elliptic operators and periodic bicharacteristics	1975	J. J. Duistermaat Victor Guillemin	3
+ PDF Chat	Improvement of eigenfunction estimates on manifolds of nonpositive curvature	2013	Andrew Hassell Melissa Tacy	3
+ PDF Chat	Restriction of toral eigenfunctions to hypersurfaces and nodal sets	2012	Jean Bourgain Zeév Rudnick	3
+	Logarithmic improvements in $$L^{p}$$ L p bounds for eigenfunctions at the critical exponent in the presence of nonpositive curvature	2019	Matthew D. Blair Christopher D. Sogge	3
+	The Analysis of Linear Partial Differential Operators III: Pseudo-Differential Operators	2018	Lars H�rmander	3
+ PDF Chat	Scattering theory for differential operators, I, operator theory	1973	S. T. Kuroda	3
+	�ber Integrale auf konvexen K�rpern I	1950	Edmund Hlawka	3
+ PDF Chat	The proof of the l^2 Decoupling Conjecture	2015	Jean Bourgain Ciprian Demeter	3
+	On $L^p$ resolvent estimates for Laplace-Beltrami operators on compact manifolds	2011	David Dos Santos Ferreira Carlos E. Kenig Mikko Salo	2
+	Lattice points in large regions and related arithmetic functions: Recent developments in a very classic topic	2004	A. Ivić Ekkehard Krätzel Manfred Kühleitner Werner-Georg Nowak	2
+ PDF Chat	Two-sided Estimates on the Density of the Feynman-Kac Semigroups of Stable-like Processes	2006	Renming Song	2
+ PDF Chat	Fractional Schrödinger equation	2002	Nick Laskin	2
+	Feynman-Kac-Type Theorems and Gibbs Measures on Path Space: With Applications to Rigorous Quantum Field Theory	2011	József Lőrinczi Fumio Hiroshima Volker Betz	2
+ PDF Chat	One-electron relativistic molecules with Coulomb interaction	1983	Ingrid Daubechies Élliott H. Lieb	2
+ PDF Chat	Slicing surfaces and the Fourier restriction conjecture	2009	Fabio Nicola	2
+	Restriction of toral eigenfunctions to hypersurfaces and nodal sets	2011	Jean Bourgain Zeév Rudnick	2
+	Vorlesungen über Zahlentheorie	1950	Helmut Hasse	2
+	Heat kernel bounds on manifolds	1992	Karl‐Theodor Sturm	2
+ PDF Chat	Bounds on Oscillatory Integral Operators Based on Multilinear Estimates	2011	Jean Bourgain Larry Guth	2
+	Brownian motion and harnack inequality for Schrödinger operators	1982	Michael Aizenman Barry Simon	2
+	An Estimate Near the Boundary for the Spectral Function of the Laplace Operator	1980	R. Seeley	2